Setting up word problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that shows the relationship between two expressions that are not equal, using symbols like <, >, ≤, or ≥.

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. It indicates that one value is either less than or equal to another value.

Front

How do you represent a situation where you have a maximum amount to spend?

Back

You can represent it using an inequality where the total cost is less than or equal to the maximum amount.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

How do you interpret the inequality 5x + 10 ≥ 100?

Back

This means that the total amount earned from babysitting (5 dollars per hour times x hours plus 10 dollars) must be at least 100 dollars.

Front

What does it mean to withdraw money from a savings account?

Back

Withdrawing money means taking money out of the account, which decreases the total balance.

Front

How can you express a situation where you want to save a minimum amount of money?

Back

You can express it using an inequality where the remaining amount is greater than or equal to the desired minimum.

Front

What is the significance of the one-time registration fee in a membership cost?

Back

The one-time registration fee is an initial cost that must be added to the recurring monthly fees when calculating total expenses.

Front

How do you set up an inequality for a growth problem?

Back

You set up an inequality by expressing the initial amount plus the growth rate multiplied by time, compared to the maximum or minimum desired amount.

Front

What does the inequality 500 - 25x ≥ 200 represent?

Back

This represents a situation where Triniti starts with 500 dollars and withdraws 25 dollars each week, wanting to have at least 200 dollars left.